This note presents the \(\mathrm {K^{0}_{S}K^{0}_{S}}\) , \(\Lambda \mathrm {K^0_S}\oplus \overline{\Lambda }\mathrm {K^0_S}\)  and \(\Lambda \Lambda \oplus \overline{\Lambda }\overline{\Lambda }\)  femtoscopic correlations in lead-lead (PbPb) collisions at center-of-mass energy per nucleon pair of \(\sqrt{s_{_{\text{NN}}}}\)  = 5.02 TeV using the data recorded by “the CMS [1]} experiment" at the LHC. The \(\mathrm {K^{0}_{S}K^{0}_{S}}\)  correlations were measured in the extended range of centrality bin (\(0\text{--}60\%\) ), where centrality is defined as the fraction of the total nucleus-nucleus cross section, with \(0\%\)  denoting the maximum overlap of the colliding nuclei. The \(\Lambda \mathrm {K^0_S}\oplus \overline{\Lambda }\mathrm {K^0_S}\)  and \(\Lambda \Lambda \oplus \overline{\Lambda }\overline{\Lambda }\)  correlations were measured in centrality range \(0\text{--}80\%\) . The size of the particle emitting source is extracted from \(\mathrm {K^{0}_{S}K^{0}_{S}}\) , \(\Lambda \mathrm {K^0_S}\oplus \overline{\Lambda }\mathrm {K^0_S}\) , and \(\Lambda \Lambda \oplus \overline{\Lambda }\overline{\Lambda }\)  correlations. The strong interaction scattering parameters are extracted from \(\Lambda \mathrm {K^0_S}\oplus \overline{\Lambda }\mathrm {K^0_S}\)  and \(\Lambda \Lambda \oplus \overline{\Lambda }\overline{\Lambda }\)  correlations using Lednicky-Lyuboshits fit [2]} and compared with theoretical calculations and results from other experiments.
